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Answer:
The rule for the linear function will be:
Step-by-step explanation:
We know that linear function can be represented using the slope-intercept formula
y = mx+b
where m is the slope and b is the y-intercept
Given the function is linear
Taking two points from the table to determine the slope
- (1, 3)
- (2, 1)
Using the point-slope form of the line equation
where m is the slope of the line and (x₁, y₁) is the point
substituting the values m = -2 and the point (1, 3)
adding 3 to both sides
or
Therefore, the rule for the linear function will be: